35.解：，．经检验，，是原方程的根

34. 解：原式．当时，原式

33. 解：原式．

······························································································································ (4分)

当时，原式．　　　 (5分)

32. 解：(1)设安排人生产甲种板材，

则生产乙种板材的人数为人．

由题意，得，······································································· (2分)

解得：．经检验，是方程的根，且符合题意．·································· (3分)

答：应安排80人生产甲种板材，60人生产乙种板材．··········································· (4分)

(2)设建造型板房间，则建造型板房为间，

由题意有：···························································· (6分)

解得．····································································································· (7分)

又，．

这400间板房可安置灾民．····························· (8分)

当时，取得最大值2300名．

答：这400间板房最多能安置灾民2300名．　 (9分)

31. 解：方程两边同乘以，得5(x－1)－(x+3)＝0

　　　　 解这个方程，得x＝2.

　 检验：把x＝2代入最简公分母，得2×5×1＝10≠0

∴原方程的解是x＝2

30. 原式

当时，原式

29. 解：原式=

　　　　 =

　　　　 =

28. 解：原式＝－×

　　　　 ==

当=1时，原式==

27. 解：原式

当，时，原式　　　 (6分)

26. 解：设车队走西线所用的时间为小时，依题意得：

　　　　 ，················································································ (3分)

解这个方程，得

．······················································································ (6分)

　　　　 经检验，是原方程的解．

　　 答：车队走西线所用的时间为20小时．······················································· (7分)